641014866011520 has 2560 divisors, whose sum is σ = 3076613917977600. Its totient is φ = 122830721187840.

The previous prime is 641014866011501. The next prime is 641014866011563. The reversal of 641014866011520 is 25110668410146.

641014866011520 is a `hidden beast` number, since 6 + 4 + 1 + 0 + 1 + 4 + 8 + 6 + 601 + 15 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 57963179751 + ... + 57963190809.

It is an arithmetic number, because the mean of its divisors is an integer number (1201802311710).

Almost surely, 2^{641014866011520} is an apocalyptic number.

641014866011520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641014866011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538306958988800).

641014866011520 is an abundant number, since it is smaller than the sum of its proper divisors (2435599051966080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

641014866011520 is a wasteful number, since it uses less digits than its factorization.

641014866011520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12238 (or 12217 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 641014866011520 in words is "six hundred forty-one trillion, fourteen billion, eight hundred sixty-six million, eleven thousand, five hundred twenty".